Linear Algebra: Transpose of a Matrix Product

Learn more: http://www.khanacademy.org/video?v=UdHgWK13x5I Taking the transpose of the product of two matrices.

Dual spaces #5: Transpose map and naturality

In this video I talk about a topic in linear algebra often downplayed in less theoretically-oriented linear algebra courses that I find pretty cool. This is ...

Transpose of a matrix

Find the determinant of the linear transformation T(f) = f+f'+f'' V spanned by cosx and sinx

Find the determinant of the linear transformation from the space spanned by and to . Find the determinant of the linear transformation T(f) = f+f'+f'' V span...

Linear Transformations , Example 1, Part 2 of 2

Linear Transformations , Example 1, Part 2 of 2. In this video, I introduce the idea of a linear transformation of vectors from one space to another. I then ...

Multilinear algebra #6: Induced linear maps

Whenever we have a bilinear map phi from VxW to some space Z, we get an induced linear map f, due to the universal property of the tensor product. In this vi...

linear algebra 4.2 #33 parts a & d

define T from M(2x2) to M(2x2) by T(A) = A + A^transposed. a. show T is a linear transformation b. describe ker T.

Linear Algebra: Simplifying conditions for invertibility

Learn more: http://www.khanacademy.org/video?v=Yz2OosyMTmY Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix.

Linear Algebra: Matrix condition for one-to-one trans

Learn more: http://www.khanacademy.org/video?v=M3FuL9qKTBs Showing that the rank of the of an mxn transformation matrix has to be an for the transformation t...

Lin Alg: Showing that A-transpose x A is invertible

Learn more: http://www.khanacademy.org/video?v=ESSMQH6Y5OA Showing that (transpose of A)(A) is invertible if A has linearly independent columns.